Answer:
Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x
Step-by-step explanation:
Let us go through each of the equations one by one.
Equation A: [tex]2.3y+2+3.1y=4.3y+1.6+1.1y+0.4[/tex]
This simplifies to
[tex]5.4y+2=5.4y+2[/tex]
which has infinitely many solutions.
Equation B: [tex]32x+25-21x=10x[/tex]
this simplifies to
[tex]x+25=0[/tex]
[tex]x=-25[/tex]
which is exactly one solution.
Equation C: [tex]\frac{5}{8} x+2.5=\frac{3}{8}x+1.5+\frac{1}{4} x[/tex]
this simplifies to
[tex]\frac{5}{8} x+2.5=\frac{5}{8} +1.5[/tex]
[tex]2.5=1.5[/tex]
There's no way this is going to be possible; this equation has no solutions.
Equation D: [tex]\frac{1}{3} x+\frac{1}{7} x=\frac{3}{7} x[/tex]
this gives
[tex]\frac{1}{3} =\frac{2}{7} y[/tex]
[tex]y=\frac{7}{6}[/tex]
which is exactly one solution.
Thus we see that it is equation C that has no solutions.
